Explanation:
square
area = x²
perimeter = 4x
rectangle
area = xy
perimeter = 2(x + y)
square
a = 5.5²
a = 30.25cm²
p = 4 × 5.5
p = 22
rectangle
a = x × 5.5
a = 5.5x
p = 2(x + 5.5)
p = 2x + 11
area of algebra tile shape = 30.25 + 5.5x
perimeter of algebra tile shape = 22 + 2x + 11
= 33 + 2x
combine both , 30.25 + 5.5x = 33 + 2x
5.5x - 2x = 33 - 30.25
3.5x = 2.75
x = 0.79
area of algebra tile shape = 30.25 + 5.5(0.79)
=34.60cm²
perimeter of algebra tile shape = 33 + 2(0.79)
= 34.58
I think this is the answer